Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 162, pp. 1-11.

Title: A jumping problem for a quasilinear equation involving the
       1-Laplace operator

Authors: Annamaria Canino (UNICAL, Cosenza, Italy)
         Giuseppe Riey    (UNICAL, Cosenza, Italy)

Abstract:
 We prove the existence of solutions for a jumping problem
 of a functional whose principal part is the total variation.
 Our main tool is a nonsmooth variational method.

Submitted September 20, 2011. Published December 08, 2011.
Math Subject Classifications: 35J65, 49J40.
Key Words: Non-smooth analysis; jumping problems;
           hemivariational inequalities.